"Strawman. Cleanup at table 7"
No, Lawrence, that wouldn't be censorship. But that is not what we're talking about. If you were a policeman and walked over and said, "If you don't stop swearing I'll arrest you even if it is legal for you to swear" THAT would be censorship.
Closer to what is going on here, if a policeman came to you, the restaurant owner, and said, "Lawrence, go over and tell Jack, a regular patron for years who does huge amounts of his sales business at your restaurant, that if he doesn't stop talking about how NATO expansion was a huge reason for the Russian invasion of Ukraine in 2022 then you will never allow him to enter your business." If you don't do this Lawrence, then I'm going to have to have a closer look at your liquor license, which is up for renewal next month, and I'm going to come in every couple of days and check the immigration status of all of your dishwashers and cleanup crews. You wouldn't want me to have to do that now, would you Lawrence?"
THAT would also be censorship (according to the US supreme court). It is not a quick soundbite like your statement, but hopefully we are intelligent enough to talk beyond quick soundbites.
We are talking 90% of the time about the US and 90% of the time about US based companies. The sole exception is TikTok, and the biggest complaint about TikTok from the authorities is - wait for it - it is not a US based company.
My definition of free speech is, "Anything that is legal." That is not the same as, "Anything goes."